Sets, Relation & Functions Complete Chapter | CA Foundation Math Chapter 7 As Per ICAI New Syllabus

Sets, Relation & Functions Complete Chapter | CA Foundation Math Chapter 7 As Per ICAI New Syllabus | sets relations and functions ca foundation | sets relations and functions one shot | sets relations and functions concept | sets relations and functions maths

In this Video We Will Discuss Sets, Relation & Functions in Maths Chapter 7 As per ICAI New Syllabus all Concepts, Examples, and Problems for CA Foundation Students and Sets, Relation & Functions Complete Chapter For CA Foundation Students has been discussed by Chandan Poddar Sir for CA Foundation Grooming Education in association with Escholars.

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Time stamps:
00:00 Introduction.
00:32 Meaning of sets.
02:34 Forms of sets.
05:26 What is equivalent sets.
06:48 What is equal sets.
09:01 Practice question.
10:27 Meaning of Singleton sets.
11:08 Null set/ void set/ empty set.
13:13 Sub-set/ super set.
17:11 Properties of sub-set/ super set.
23:51 What is power set.
29:13 Universal set.
32:29 Venn diagram.
45:17 Relation & function.
53:13 Types of functions.
01:01:12 Examples of functions.
01:04:05 Bijection function.
01:04:45 What is inverse function.
01:09:40 Identity function.
01:10:25 Constant function.
01:11:17 Equal function.
01:12:54 Composite function.
01:16:50 Domain, range & co-domain.
01:23:43 Types of relation.

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Sets in Maths
A set is a collection of well defined objects. The objects of a set are taken as distinct only on the ground of simplicity.

A set of sets is frequently called a family or collection of sets. For example, suppose we have a family of sets consisting A1, A2, A3,….. up to An, that is the family {A1, A2, A3,….., An } and could be denoted as S = {Ai | i belongs to N and 1 ≤ i ≤ n}

Types of Sets
In sets theory, there are many types of sets. Some of them are discussed below.

Singleton set
A set contains only one element. For example, A = {3} and B = {pencil}. Here A and B are containing only one element so both are singleton sets.

Empty Set/Null Set
An empty set is a set with no element. It is denoted by A = { } or A = ϕ.

Proper set
If A and B are two sets, then A is a proper subset of B if A ⊆ B but A ≠ B.

Power Set
The collection of all subsets of a set is the power set of that set. If A is the set then P(A) is denoted as its power set.

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